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Finding the Fourth Proportional to 869.27, 1,199.41 and 519.75

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Solution

The fourth proportional to 869.27, 1,199.41 and 519.75 is: 717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.27 : 1,199.41 = 519.75 : x
  2. Step 2: Convert to fraction form
    869.27/1,199.41 = 519.75/x
  3. Step 3: Cross multiply
    869.27x = 1,199.41 × 519.75
  4. Step 4: Simplify right side
    869.27x = 623,392.05
  5. Step 5: Solve for x
    x = 623,392.05/869.27
  6. Step 6: Final answer
    x = 717.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.